Final Exam Review Package 2
Basic Probability Concepts
(Questions #33 - 44 are a reminder of some key and basic probability concepts, but there
will not be any fill in the blank questions on your exam!)
32. P (certain event) = _________
33. P (impossible event) = __________
34. P (E) can never be larger than _________ or never smaller than ______.
35. If a single die is rolled, and the number on the up face is observed, then n (S) = ____
36. If two dice are rolled, and the numbers on the up faces are observed, then n (S) =___
37. If a coin is tossed, and the up face is noted as heads or tails, then n (S) = _____
38. If three coins are tossed, and the up faces are noted as heads or tails, then n (S) = ___
39. If a card is drawn from a deck of playing cards, and the face value and suit are noted,
then n (S)= _
40. If E is the event that a sum of seven appears on the up faces when two dice are rolled,
then n(E) = ___
41. If P (E) = 0.4, then P (not E) = _______
42. If P (E) = 0.3, P (F) = 0.2, and P (E and F) = 0.1, then P (E or F) = _________
43. If P (E) = 0.4, P (F) = 0.3, and E and F are independent events, then P (E and F) = ___
44. If P (E) = 0.3, then the odds in favor of event E are ________
45. Using a regular deck of 52 playing cards, what is the probability of each of the following:
a) Drawing an ace b) Drawing a card that has a value less than eight
46. Rolling a pair of dice, find each of the following:
a) The probability of rolling a seven or an eleven.
b) The odds against rolling a seven or an eleven
47. In school where all students take Math and English, 80% of the students pass Math, 93% of the
students pass English, and 4% of the students fail both. What percentages of students fail either
Math of English or both?
48. A box contains 8 red balls and 5 blue balls. You randomly select three balls at the same time.
What is the probability that exactly two of the balls will be red?
49. Find the odds in favor of rolling three consecutive totals of five with two dice.
Probability Models - The Last Unit (approximately 25% of the night school 2011 final exam)
50. A drawer contains 10 black socks and 10 white socks. If you pull out 4 socks, what is the
probability of picking out two matching pairs?
51. There are 16 candies left in my bag of jelly beans; 1 red 3 green,7 brown (ugh..sounds
disgusting!) and 5 yellow. Before giving 12 to my superior Data Management class, I take four
for myself. What is the probability I have chosen one of each colour?
52. Four cards are selected at once from a deck of 52 cards. What is the probability that you get one
from each suit?
53. A committee is to be formed to study the Canadian Immigration policy. The committee is to be
chosen from 11 recent immigrants, and 8 second-generation citizens. If the committee is to
consist of 7 people, determine the probability that there are exactly 3 recent immigrants on the
committee
54. A particular disease is fatal to sheep 20% of the time. If a flock of 12 contract the disease,
determine: a) the probability that 4 will die
b) the probability that no more than 2 will die
c) the number that you can expect will die
